613465600 has 120 divisors (see below), whose sum is σ = 1658463048. Its totient is φ = 223027200.

The previous prime is 613465583. The next prime is 613465607. The reversal of 613465600 is 6564316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613465607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138622 + ... + 142978.

Almost surely, 2^613465600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829231524).

613465600 is an abundant number, since it is smaller than the sum of its proper divisors (1044997448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

613465600 is a wasteful number, since it uses less digits than its factorization.

613465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 613465600 is about 24768.2377249573. The cubic root of 613465600 is about 849.6956695985.

The spelling of 613465600 in words is "six hundred thirteen million, four hundred sixty-five thousand, six hundred".